Stability criteria of nonlinear generalized proportional fractional delayed systems
Optimization and Control
2024-10-10 v1 Dynamical Systems
Abstract
This work deals with the finite time stability of generalized proportional fractional systems with time delay. First, based on the generalized proportional Gr\"onwall inequality, we derive an explicit criterion that enables the system trajectories to stay within a priori given sets during a pre-specified time interval, in terms of the Mittag-Leffler function. Then, we investigate the finite time stability of nonlinear nonhomogeneous delayed systems by means of an approach based on H\"older's and Jensen's inequalities. Numerical applications are presented to illustrate the validity and feasibility of the developed results.
Keywords
Cite
@article{arxiv.2405.12256,
title = {Stability criteria of nonlinear generalized proportional fractional delayed systems},
author = {Hanaa Zitane and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2405.12256},
year = {2024}
}
Comments
This is a preprint version of a paper whose final form is published in 'Mathematical Analysis: Theory and Applications'